Question #b7f35

1 Answer
A08
Jul 13, 2016

We know that kinetic energy in Newtonian mechanics is given by the expression

#KE=1/2mv^2# .......(1)
Keeping the mass #m# constant and tripling the velocity #v# changes the kinetic energy of the body to
#KE_"new"=1/2m(3v)^2#
#=>KE_"new"=1/2mxx9v^2#
This can be rewritten as
#=>KE_"new"=9xx(1/2mv^2)#
Recognizing that quantity within the brackets is the original #KE# as in equation (1), we may write it as
#KE_"new"=9xxKE#

#=># New Kinetic energy is nine times the original kinetic energy.

Related questions
See all questions in Energy
Impact of this question
4225 views around the world
You can reuse this answer
Creative Commons License